806835120 has 160 divisors (see below), whose sum is σ = 3078469632. Its totient is φ = 170228736.

The previous prime is 806835119. The next prime is 806835121. The reversal of 806835120 is 21538608.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (806835119) and next prime (806835121).

It is not an unprimeable number, because it can be changed into a prime (806835121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3369 + ... + 40311.

Almost surely, 2^806835120 is an apocalyptic number.

806835120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806835120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539234816).

806835120 is an abundant number, since it is smaller than the sum of its proper divisors (2271634512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

806835120 is a wasteful number, since it uses less digits than its factorization.

806835120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36979 (or 36973 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 806835120 is about 28404.8432489954. The cubic root of 806835120 is about 930.9540908099.

The spelling of 806835120 in words is "eight hundred six million, eight hundred thirty-five thousand, one hundred twenty".